6TH GR. ALGEBRA
posted by Amelia
EXTENDING THE LESSON If you add any two rational numbers, the sum is always a rational number. So, the set of rational numbers is closed under addition. Is the set of rational numbers closed under subtraction. multiplication,and division also? Explain.

Marth
Can you think of any two numbers that, when subtracted, multiplied, or divided, yield a number that is not rational? For example, take the rational numbers 2 and 3.
2  3 = 1
2 * 3 = 6
2 / 3 = 2/3
Are any of the results irrational? And are there any other rational numbers that yield different results?
(I assume a formal proof is not requested). 
Amelia
Can you think of any two numbers that, when subtracted, multiplied, or divided, yield a number that is not rational? For example, take the rational numbers 2 and 3.
2  3 = 1
2 * 3 = 6
2 / 3 = 2/3
Are any of the results irrational? And are there any other rational numbers that yield different results?
yes this one 2 * 3 = 6
Respond to this Question
Similar Questions

Algebra
Need help with these: 12. Name the property: 8 + 3.4= 3.4 + 8 a. Inverse Property of Addition b. Associative Property of Addition c. Commutative Property of Addition d. Inverse Property of Multiplication I think the answer is C 16. … 
9th grade
Name the set(s) of numbers to which 1.68 belongs. a. rational numbers b. natural numbers, whole numbers, integers, rational numbers c. rational numbers, irrational numbers d. none of the above my answer a)rational numbers 
Algebra 1
Which statement about real numbers is true? 
Math
Which set of numbers best describes the displayed weights on a digital scale that shows each weight to the nearest half of pound. A) Whole B) Rational C) Real D) Integers My answer is Rational because rational numbers can be written … 
Math Check Pleas Thank You
1. Which of the following numbers is an example of an integer? 
Prealgebra
Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then get to the end of the maze. When he collects a number he must prove it is rational by writing it as … 
Prealgebra
Sonia is creating a visual diagram to show the relationship between rational numbers and whole numbers. She draws it to show that some whole numbers are rational numbers and some are not. Is this correct? 
9th grade alebra
Name the set of numbers to which 10 belongs A whole numbers , integers , rational numbers B rational numbers C integers or rational D whole numbers , natural numbers , integers 
Algebra I
Tell whether the set is closed under the operation. If it is not closed give an example that shows that the set is not closed under the operation. 10. Positive irrational numbers; division 11. Negative rational numbers; multiplication … 
math
True or false 1.) The set of integers contains the set of rational numbers 2.)Every repeating decimal is a rational number 3.)Every square root is an irrational number 4.) the set of whole numbers contains the set of rational number …